Dr. Tarakanta Nayak
Associate Professor
School of Basic Sciences
Office : 329, SBS Building
Phone : 674-713-5166
Email :
tnayakATiitbbsDOTacDOTin
Education
| Degree | Discipline | Year | School |
|---|---|---|---|
| Ph.D. | Mathematics | 2007 | Indian Institute of Technology Guwahati |
Research Interests
Complex Dynamics; Fractals; Independence polynomials and Independent fractals of graphs
Other Profile Link(s)
Personal Web Page
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Teaching
Math-I, Math-II, Transform Calculus, Probability, Statistics & Stochastic Processes, Complex Analysis, Fractals, Advanced Complex Analysis, Complex Dynamics, Linear Algebra, Discrete Mathematics
| Journals | Author(s)/Speaker(s) |
|---|---|
Graphs whoseindependent fractals are line segments,
Bulletin of Malayasian Math Soc. 2020 |
Sasmita Barik, Tarakanta Nayak and Ankit Pradhan |
Herman rings with small periods and omitted values, Acta Mathematica Scientia Ser. B(Engl. Ed.) 38 (2018), no. 6, 1951-–1965, Elsevier. |
Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak |
Iteration of the translated tangent, Bulletin of the Malaysian Mathematical Sciences Society, Springer, 42 (2018), no. 5, 1993-2008, DOI 10.1007/s40840-017-0588-3. |
Tarun Kumar Chakra and Tarakanta Nayak |
Iteration of certain exponential-like meromorphic functions, Proceedings of Indian Academy of Sciences (Mathematical Sciences), Springer, 128 (2018), no. 5, Art. 64, 18 pp |
Tarun Kumar Chakra, Tarakanta Nayak and Kedarnath Senapati |
Baker Omitted value, Complex Variables and Elliptic Equations, An International Journal, 61 (2016), no. 10, 1353 - 1361 |
Tarun Kumar Chakra, Gorachand Chakraborty and Tarakanta Nayak |
Herman rings of meromorphic maps with an omitted value, Proceedings of the American Mathematical Society, 144 (2016), no. 2, 587 - 597 |
Tarakanta Nayak |
On Fatou components and Omitted values, Contemporary Mathematics, Geometry, groups and dynamics, 349 - 358, Contemporary Mathematics, 639, American Mathematical Society, Providence, RI, 2015. |
Tarakanta Nayak |
Julia sets of Joukowski-exponential maps, Complex Analysis and Operator Theory, 8 (2014), no.5, 1061--1076. |
Tarakanta Nayak and M. G. P. Prasad |
Omitted values and dynamics of meromorphic functions, Journal of London Mathematical Society, 83 (1), (2011), 121-136 |
Tarakanta Nayak and Jian-Hua Zheng |
Iteration of certain meromorphic functions with unbounded singular values, Ergodic Theory & Dynamical Systems, 30, (2010), 877-891 |
Tarakanta Nayak and M. Guru Prem Prasad |
Dynamics of tanh e^z, Discrete and Continuous Dynamical Systems-Series A 19, (September 2007), 1, 121-138 |
M. Guru Prem Prasad and Tarakanta Nayak |
Bifurcation and chaotic burst in the dynamics of e^az+be^z, Journal of Combinatorics, Information and System Sciences 28-29 (2003-2004), 211-227 |
Tarakanta Nayak and M. Guru Prem Prasad |
Exploding Julia sets in the dynamics of f ?(z) = ?J1(iz)/iz, Proceedings of The Third National Conference on Non-linear Systems and Dynamics, (NCNSD-2006), 171-174, Allied Publishers Pvt. Ltd. |
M. Guru Prem Prasad, Tarakanta Nayak and Ashis Kumar Roy |
Conferences
1 Baker omitted value, Invited talk in 34 th Annual Conference of the Ramanujan Mathematical Society, 1-3 August 2019, Pondicherry University, Punducherry, India
2Independence fractal of a graph, Invited talk in 83rd Annual Conference of Indian Mathematical Society, 12-15 Dec 2017, Sri Venkateswar University, Tirupati, Andhra Pradesh, India
3Completely invariant domains, Complex Analysis: Geometric and Dynamical Aspects, Non 14-19, 2016, Centre of Excellence in Mathematical Sciences, Almora, India
4Complex Dynamics of some simple maps, National Workshop on Topological Dynamics Dec 10 -- 12, 2015, National Institute of Technology, Karnataka, Surathkal, India
5Herman rings, Frontiers in Complex Dynamics, Dec 19 -- 20, 2012, University of Barcelona, Spain
Academic Honors & Awards
- Ramanujan Prize for 2018 given by Ramanujan Institute for Advanced Study in Mathematics, University of Chennai
- Member of INYAS (Indian National Young Academy of Science), 2018-2022
- Junior Associate of International Centre for Theoretical Physics, Italy for the period 2012-2017
PhD
Completed: 1 (Tarun Kumar Chakra)
Continuing: 2 (Subhasis Ghora and Soumen Pal)
MSc projects for students of IIT Bhubaneswar
Completed: 12
Continuing: 2
MSc and BTech projects for other students
Completed: 4
Professional Activities
- Reviewer, Mathematical Reviews (Published by American Mathematical Society)
- Regional Coordinator (Odisha), Madhava Mathematics Competition (since 2015)
- Acted as supervisor for Joint Science Academies' Summer Research Fellowship Programme
- Member, Board of studies, Salipur Autonomous College, Salipur (2014-2016)
- Zonal coordinator, Indian National Mathematical Olympiad for Utkal University zone
- Member in the interview board for selection of Trained Graduate Teachers in Kendriya Vidyalaya Sangathan on 30 April, 2011
Student Supervision
PhD: Tarun Kumar Chakra, 2018 (Thesis: Iteration of meromorphic functions with an omitted value)
Post Doc: Dr Kedarnath Senapati , 2014-2016
MSc:
12. Fixed points and their multipliers for a polynomial, Rajen Kumar, 2018-19.
11. Graphs whose independence fractals are line segments, Sanjoy Mondal, 2018-19
10. Quasiconformal mapping and No wandering theorem, Abhisek Pandey, 2018-19
9. Fractal Transformation using Iterated Function System, Chavan Ratan, 2017-18
8. Quasiconformal mappings, Garima Gupta, 2016-17
7. A study of roots of Independence polynomials, Vijay Kumar Meena, 2016-17
6. The Independence fractal of a graph, Kartik Pandey, 2016-17
5. Finding all roots of a polynomial by Newton's Method, Soumen Pal, 2015-16
4. A study on palindromic polynomials, Priti Prasanna Mondal, 2015-16
3. Polynomial root finding, Anudeep Nain, 2014-15
2. The Julia sets of relaxed Newton method for polynomials with two roots, Satyabrata Jana, 2014-15
1. Dynamical behaviour of multiply connected Fatou components of transcendental entire functions, Jogender Singh, 2014-15.
Summer and Winter projects:
4. Roots of Chromatic Polynomials, winter project by Labhansh Gemini, NIT Hamirpur, 11-31 Dec 2018
3. The independence polynomial of a graph, summer project by Satyabrat Rath, NIT Rourkela, 2018
2. On Herman rings of transcendental meromorphic functions, summer project by Pranav Kumar Upadrasta, IIT Kharagpur (under SRF Programme - 2014, jointly sponsored by IASc-Bangalore, INSA-New Delhi and NSAI-Allahabad).
1. When two fractals are the same, summer project by Prashant Kumar Ojha, NIT Rourkela during May 15 -- July 15, 2011.
Sponsored projects
- Project title and duration: Independence polynomials of graphs and associated fractals, 14 March 2019-13 March 2022. Supported by the Department of Science & Technology, Govt. of India. Amount: Rupees 6.6 Lakhs
- Project title and duration:Omitted values in complex dynamics, 2014-17. Supported by the Department of Science & Technology, Govt. of India. Amount: Rupees 13.44 Lakhs.
- Project title and duration: Julia sets of transcendental meromorphic functions, 21/07/2010 - 30/06/2012. Supported by IIT Bhubaneswar. Amount: Rupees 5 Lakhs
- Project title and duration: Topological aspects of transcendental dynamics, 2009-2010. Supported by the China Postdoctoral Science Foundation (Grant no. 20090450420). Amount: RMB 30,000.